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Formula:9512

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Digital Library of Mathematical Functions ID 30.2.E2

d 2 g d t 2 + ( λ + 1 4 + γ 2 ⁢ sin 2 ⁡ t - μ 2 - 1 4 sin 2 ⁡ t ) ⁢ g = 0 , derivative 𝑔 𝑡 2 𝜆 1 4 superscript 𝛾 2 2 𝑡 superscript 𝜇 2 1 4 2 𝑡 𝑔 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}g}{{\mathrm{d}t}^{2}}+\left(% \lambda+\frac{1}{4}+\gamma^{2}{\sin^{2}}t-\frac{\mu^{2}-\frac{1}{4}}{{\sin^{2}% }t}\right)g=0,}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : real parameter
  • γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}} : real parameter
  • μ 𝜇 {\displaystyle{\displaystyle\mu}} : real parameter
  •  Edit this on Wikidata

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